This paper explores the relative progressivity of the main bankruptcy rules in taxation problems. A rule F is more progressive than a rule G when the after-tax income vector generated by F Lorenz dominates that generated by G. We focus our analysis on four classical rules (proportional,...

A diagonal image may be defined as a point in the image of agiven mapping, whose components are all equal. This paper investigates sufficient conditions for a set-valued mapping to have quasi-diagonal images(in an extended sense). More specifically, we shall show that anupper-hemicontinuous...

The purpose of this paper is to offer a characterization of a welfare index which depends positively on total income and negatively on Theil's first inequality measure. This welfare index belongs to a family of indicators which try to link measures of income and measures of welfare (real-income...

This paper deals with the analysis of allocation problems with single peaked preferences, under the condition of agenda-independence (that is, when the allocation rule yields the same final outcome, no matter how the problem is subdivided into partial problems). Since the Uniform rule does not...

The problem of distributing a given amount of a divisible good among a set of agents which may have individual entitlements is considered here. A solution to this problem, called the Rights-Egalitarian Solution, is proposed and characterized. This allocation rule divides equally among the agents...

This paper deals with the measurement of efficiency differences among countries within a federation. The key tool is the use of a suitable interpretation of the non-substitution theorem in order to get a natural technological standard. Two alternative indices are proposed. One provides a...

It is shown in this paper how for any parametrically given rate of profits p, a price vector and an allocation exist such that: (a) Consumers maximize their preferences subject to their budget constraints; (b) Firms maximize profits; (c) Al1 active firms are equally profitable (with a rate of...

An economy with l commodities, m consumers and n firms is considered. Consumers are modelled in a standard way. It is assumed that the jth firm has a closed and comprehensive production set, Y with O E Y. The equilibrium of firms appears associated to the notion of a pricing rule (a mapping...

This paper focuses on two new properties for bankruptcy rules: preeminence and sustainability. Theypertain to situations when the claims of some agents are much larger than the claims of otheragents. They differ in the way the recommend agents with small claims to be treated. Preeminencerequires...

This paper extends the notion of valuation equilibrium which applies to market economies involving the choice of a public environment. Unlike some other recent work, it is assumed here that consumers and firms evaluate alternative environments taking market prices as given (hence this notion is...